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The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals
School of Science, Shandong Jianzhu University, Jinan 250101, China.
School of Science, Xiamen University, Xiamen 361005, China.
LSEC, ICMSEC, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100190 , China.
Computer Modeling in Engineering & Sciences 2011, 82(3&4), 233-252. https://doi.org/10.32604/cmes.2011.082.233
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The composite rectangle (midpoint) rule for the computation of multi-dimensional singular integrals is discussed and the superconvergence results is obtained. When the local coordinate is coincided with certain priori known coordinates, we get the convergence rate one order higher than the global one. At last, numerical examples are presented to illustrate our theoretical analysis which agree with it very well.Cite This Article
APA Style
Li, J., Yu, D. (2011). The superconvergence of certain two-dimensional hilbert singular integrals. Computer Modeling in Engineering & Sciences, 82(3&4), 233-252. https://doi.org/10.32604/cmes.2011.082.233
Vancouver Style
Li J, Yu D. The superconvergence of certain two-dimensional hilbert singular integrals. Comput Model Eng Sci. 2011;82(3&4):233-252 https://doi.org/10.32604/cmes.2011.082.233
IEEE Style
J. Li and D. Yu, “The Superconvergence of Certain Two-Dimensional Hilbert Singular Integrals,” Comput. Model. Eng. Sci., vol. 82, no. 3&4, pp. 233-252, 2011. https://doi.org/10.32604/cmes.2011.082.233
Citations
Copyright © 2011 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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